If `alpha = 112^@ 30',` find the value of `sin alpha` and `cos alpha`.

If alpha , beta are complementry angles such that bsin alpha = a , the find the value of (sin alpha cos beta - cos alpha sin beta) .

If cos^(2)alpha+ cos alpha=1 , then find the value of 4 sin^(2)alpha+4 sin^(4) alpha+2 .

Find the value of sin 2 alpha, if sin alpha+ cos alpha=(1)/(3) .

If sin alpha -cos alpha = m , then the value of sin^6alpha+cos^6alpha in terms of m is

If sin alpha=(3)/(5) and cos beta=(9)/(41) find the value of sin(alpha-beta) and cos(alpha+beta)

If sin alpha=(15)/(17) and cos beta=(12)/(13) find the values of sin(alpha+beta),cos(alpha-beta) and tan(alpha+beta)

If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

If sin alpha-cos alpha=m, then the value of sin^(6)alpha+cos^(6)alpha in terms of m is

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to